Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compactness
metric spaces |
| gptkbp:field |
gptkb:mathematics
gptkb:topology analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Borel–Weierstrass theorem
|
| gptkbp:implies |
compactness implies sequential compactness
|
| gptkbp:namedAfter |
gptkb:Karl_Weierstrass
gptkb:Émile_Borel |
| gptkbp:relatedTo |
gptkb:Bolzano–Weierstrass_theorem
|
| gptkbp:state |
Every bounded sequence in ℝⁿ has a convergent subsequence
|
| gptkbp:usedIn |
functional analysis
real analysis topological spaces |
| gptkbp:bfsParent |
gptkb:Émile_Borel
|
| gptkbp:bfsLayer |
6
|